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A two digit number is four times the sum...

A two digit number is four times the sum and three times the product of its digits.

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Let the digits at tenth and units place of the number be x and y respectively. Then, Number `=10x+y`
It is given that
Number` =4× `sum of digits. also, Number `=3×`product of digits
`\Rightarrow10x+y=4(x+y);10x+y=3xy`
`\Rightarrow6x−3y=0;10x+y=3xy`
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